Use the Pythagorean Theorem Quick Check
Sure! Here is a Pythagorean Theorem quick check:
Question 1:
A right triangle has one leg measuring 5 units and the other leg measuring 12 units. Find the length of the hypotenuse.
Solution:
Using the Pythagorean Theorem, we have:
c^2 = a^2 + b^2
c^2 = 5^2 + 12^2
c^2 = 25 + 144
c^2 = 169
Taking the square root of both sides, we get:
c = sqrt(169)
c = 13
Therefore, the length of the hypotenuse is 13 units.
Question 2:
Given a right triangle with a hypotenuse measuring 10 units and one leg measuring 6 units. Find the length of the other leg.
Solution:
Using the Pythagorean Theorem, we have:
c^2 = a^2 + b^2
10^2 = 6^2 + b^2
100 = 36 + b^2
b^2 = 100 - 36
b^2 = 64
Taking the square root of both sides, we get:
b = sqrt(64)
b = 8
Therefore, the length of the other leg is 8 units.
I hope this helps! Let me know if you have any other questions.